Let A = a22 Show that if d = a¡|a» – A2jɑ12 # 0, then 1 A- = a22 -a12

Q: 2 Let A= then det(3A") = 6- -2 - 18 -6

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Q: Show that if a|b then -a|b.

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Q: - 21 , Prove that + (n? m' ) yn=o 2.

A: According to the Leibnitz theorem, dndxn(uv)=C0nunv0+C1nun-1v1+C2nun-2v2+... Formulae used:…

Q: Let 21 = 2+ j3 and z 4 j5. Evaluate

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Q: 7. Show that if A and B are similar, then det A = det B. %3D

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Q: 2 Let A | and U = H. Then A2017U is equal to = ... A) B

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Q: Let C: z-3 and I – 6dz. ONone of these

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Q: 3. prove that: det (AB) = det (A) det (B) If a - (;). » - ( :) 2 -1 7 A = 3 2 4

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Q: (i),if i = j + 1)',if i = B = A-, if i +j mif i + j

A: Here we have to find the Matrix A and B then find the product according to the question, now the…

Q: If A= then A" + nl is equal to 1.

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Q: Let 4; = {0, i} . Find U4, and N 4. i= 1 | A;. i= 1

A: Given :  Ai =  0 , i    To find :  The union ∪i=1∞ Ai    and the intersection  ∩i=1∞ Ai   .

Q: Let X: Uc4) out of st andard er dere d uniferm

A: From the given information, X=U4 out of 8 standard ordered uniform and Y=U5out of 8 standard ordered…

Q: 4 Show that a + B = B +a for all a, BE C.

A: We can write alpha and Beta in general form of element of complex number.

Q: Let A = 1 0 1 0 11 1 1 and B= = 0 0] 1. If C= AO B, then C32: and C13= = 1 1 0 01 0 1 1 0

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

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Q: Reject Ho if |z| > N

A: We know that  Null hypothesis H0. Alternative hypothesis H1.

Q: E O a. Odette is not eating. O b. Lancelot is not hungry. O C. Lancelot is not eating. O d. Odette…

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Q: 4. Let b > a > 0. Show that (a,b] is neither closed nor open.

A: Explanation of the solution is given below....

Q: Show that 1 – R1.23 = (1 – r12²) (1 – r13,22 ) Deduce that (i) R, 23 2r,2, (ii) R? = r12² + r13², if…

A: Answer: For the given data,

Q: Prove that, if (a%m)=(b%m) then m| (a-b)

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Q: Let D be digraph. If id(x) > 0 for all x ∈ V (D), then D contains a circuit.

A: Given:- Let D be digraph. If id(x) > 0 for all x ∈ V (D)

Q: A survey of farmers showed that of the farmers, 126 grew only wheat, 111 grew only corn, 93 grew…

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Q: Let A 3 and U = |- Then A2017U is equal to

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Q: 2 Let A = then det(3AT) - 18 -6 -2 II

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Q: 8. Express the following as linear combinations of u = (2, 1, 4), v (1,-1, 3), and w= (3, 2, 5). (a)…

A: (b) ( 6, 11 , 6 )   We have to write it as linear combinations of (2 , 1 ,4 ) , (1, -1, 3 ) and (3…

Q: Let z-2 z-2 n st pC& >0.5)20.9 and y:bin (n,o.38), find or

A: Y~Binomialn, 0.38 Compute the mean and the standard deviation of Y using the formulae: Y=np…

Q: Show that |Re(2)| + |Im(2)| < v2|=| for any : € C.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8. Express the following as linear combinations of u = (2, 1, 4), v= (1,–1, 3), and w= (3, 2, 5).…

A: The given vectors are:u=2, 1, 4, v=1, -1, 3, w=3, 2, 5

Q: find A1 ∩B1 , GIVEN THAT                                             U= {x ∈ z/ - 7}    A= {x ∈ Z+…

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Q: Show that: If |z| = 2, then: z* – z2 – 4| Re < 6 z + 6

A: A complex number z=x+iy are graphically represented as (x,y) on coordinate plane. The polar…

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Q: If a is transcedental over Q then a^2 is also transcedental over Q

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Q: If In a + In(z-7) = In(4x), then z = 11 %3D

A: Since you have posted more than one question we solved the first one for you. For the remaining…

Q: f(2)de = Af(1)+"(), the If Af(1) + 3 0. A = 2, B 1 O A = 0, B = 2 O A = 1, B = 1 O A = 0, B = 1 O A…

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Q: 3. Evaluate ". a, Inutc b. In u C. Inx+c

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Q: If two rows of A are interchanged to produce B, then det(B) = –det(A). \\ Big True fals e

A: We use properties of determinant

Q: Consider z1 = 1 - j2 and z2 = -2 + j3. Determine Im (21)?

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Q: o Let A-

A: The given matrix is : A=1-111 Calculate the value of norm A∞. We know the formula of the infinity…

Q: ao + 2a1 + a2 - azz²) = | da0 + 7a; + 5az 3ao + 5a, + 5a2, Let T(ao + a;7 - Determine ifT is…

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Q: es lls ew zeiflucifiib ons einiseen stigesber Show that for neN, (2n)! ' (r!)² ((n −r)!)² - 7=0 2n -…

A: We will use binomial expansion to prove given relation

Q: 6. Prove that, if a, b e Z, then 3a? – 4b – 5 0. - -

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Q: Let, a1 = 1, az = 2, b1 = 0, b2 = 1, for n 2 3, 2ап-1 + bn-1 for n 22 b, = bn–1+ an-1 an express an…

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Q: In a study of pain relievers, 25 people were given product A, and 16 experienced relief. In the same…

A: According to the study of pain relievers 25 people were given product A, and 16 were relieved.  So…

Q: . Let, a, = 1, az = 2, b; = 0, b2 = 1, for n2 3, a, = 2an-1 + bn-1 for n22 b, = br-1+ an-1 express…

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Q: If det A= 0 why is det A+ = O? If A has rank r, why does A+ have rank r?

A: Given Data det A=0   Suppose the column and row of the matrix are linearly independent. The matrix…

Q: 3. prove that: det (AB) det (A) det (B) If A -(:), = - ( :) B = 7 2

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Q: Classify each as independent or dependent: A.  Drinking 6 beers in an hour and then getting ticketed…

A: The probability of getting ticket from police is varies from person to person because the drinking…

Q: 8. Express the following as linear combinations of u= (2, 1, 4), v= (1,–1, 3), and w (3, 2, 5). (a)…

A: Linear combination :  A vector v∈V(F) is said to be a linear combination of the vectors v1,v2,...,vn…

Q: Show for Re(z) > 1 -dr = r(2) ((2). %3D et - 1

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Q: Let a1 , az , .. , a7 e N. Show that if a¡ , a2, 7| (a, + az + ... + a7) .... 2.. a7 are…

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